GEO_LCD_ICOSA_GRID

1132.02 The 31 great circles of the icosahedron always shunt the energies into local- holding great-circle orbits, while the vector equilibrium opens the switching to omniuniverse energy travel. The icosahedron is red light, holding, no-go; whereas vector equilibrium is green light, go. The six great circles of the icosahedron act as holding patterns for energies. The 25 great circles of the vector equilibrium all go through the 12 tangential contact points bridging between the 12 atomic spheres always closest packed around any one spherical atom domain.
3.8 "While great circles are the shortest distance around spheres, a single great-circle band around a sphere will readily slide off....Not until we have three noncommonly polarized, great-circle bands providing omnitriangulation as in a spherical octahedron, do we have the great circles acting structurally to self-interstabilize their respective spherical postionings by finitely intertriangulating fixed points less than 180 degrees apart." (I, 706.20)

3.9 "There are only three possible cases of fundamental omnisymmetrical, omnitrianguläted, least-effort structural systems in nature: the tetrahedron, with three triangles at each vertexi the octahedron, with four triangles at each vertex; and the icosahedron, with five triangles at each vertex." (I, 532.41)

3.10 "Design strategies: All the calculations required for the design of geodesic domes may be derived from the three basic triangles of the three basic structural systems:

the 120 right spherical triangles of the icosahedron
the 48 right spherical triangles of the octahedron, and
the 24 right spherical triangles of the tetrahedron.
All the great-circle behaviors occurring around the whole sphere take place within just one of those three basic right triangles and repeat themselves in all others." (II, 795.08)